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Finding the Fourth Proportional to 23,597.40, 32,564.34 and 14,165.94

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Solution

The fourth proportional to 23,597.40, 32,564.34 and 14,165.94 is: 19,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.40 : 32,564.34 = 14,165.94 : x
  2. Step 2: Convert to fraction form
    23,597.40/32,564.34 = 14,165.94/x
  3. Step 3: Cross multiply
    23,597.40x = 32,564.34 × 14,165.94
  4. Step 4: Simplify right side
    23,597.40x = 461,304,486.58
  5. Step 5: Solve for x
    x = 461,304,486.58/23,597.40
  6. Step 6: Final answer
    x = 19,548.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.